Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Engineering Dynamics need help
A ball of mass m is moving along a vertical semi-cylinder of radius R as it is guided by the arm OA. The arm moves in a clockwise direction with a constant angular velocity ω. Assume 0° ≤ Φ ≤ 90°.
Neglect any friction. Neglect also the size of the ball and the thickness of the arm.
- Find the relationship between r, R and θ where r is the distance between O and the ball.
- Draw a free body diagram of the ball assuming that it is in contact with the cylinder and the arm OA.
- Write the equations of motion in the (r, θ) coordinate system.
- Find the normal force acting on the ball by the cylinder for Φ = Φ0.
- Find the normal force acting on the ball by the bar for Φ = Φ0.
- Determine the angle Φ at which the ball loses contact with the cylinder.
- Take m = 1 kg, R = 1.4 m, ω = 0.5 rad/s, and Φ = 60°
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